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Simplifying 5v + -14 = -4(v + -1) Reorder the terms: -14 + 5v = -4(v + -1) Reorder the terms: -14 + 5v = -4(-1 + v) -14 + 5v = (-1 * -4 + v * -4) -14 + 5v = (4 + -4v) Solving -14 + 5v = 4 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -14 + 5v + 4v = 4 + -4v + 4v Combine like terms: 5v + 4v = 9v -14 + 9v = 4 + -4v + 4v Combine like terms: -4v + 4v = 0 -14 + 9v = 4 + 0 -14 + 9v = 4 Add '14' to each side of the equation. -14 + 14 + 9v = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 9v = 4 + 14 9v = 4 + 14 Combine like terms: 4 + 14 = 18 9v = 18 Divide each side by '9'. v = 2 Simplifying v = 2
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